if length is 9 CM width is 12 CM and surface area is 426 cm². find the height and volume
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Answer:
- total surface area of a cuboid is 2(lb+bh+lh)
- height=x
- 2(lb+bh+lh)=426 cm²
- 2{(9×12)+(12×x)+(9×x)=426
- 2(108+12x+9x)=426
- 2(108+21x)=426
- 108+21x=426÷2
- 108+21x=213
- 21x=213-108
- 21x=105
- x=105÷21
- x=5
- height=5.
- volume of cuboid=lbh
- volume=9×12×5
- volume=540 cm³
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